If 2(a2 – b2
) = 125 and a – b = 5, find the value of a + b.
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Question ⤵️
If 2(a2 – b2
) = 125 and a – b = 5, find the value of a + b
Answer ⤵️
Formula,
(a + b + c)² = a² + b²+ c² + 2ab + 2bc + 2ca
⇒(a + b + c)² = a² + b² + c² + 2 ( ab + bc + ca )
Given,
ab + bc + ca =10 , a² +b²+ c² = 16
⇒(a + b + c )² = 16 + 2(10)
a + b + c = √16 + 20 = 6
Hope it helps you ✌️
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